Finding the Third Proportional to 49,140 and 74,116

Step by Step Solution

1. Step 1: Write the proportion equation
   49,140 : 74,116 = 74,116 : x
2. Step 2: Convert to fraction form
   49,140/74,116 = 74,116/x
3. Step 3: Cross multiply
   49,140x = 74,116 × 74,116
4. Step 4: Simplify right side
   49,140x = 5,493,181,456
5. Step 5: Solve for x
   x = 5,493,181,456/49,140
6. Step 6: Final answer
   x = 111,786.35